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A conductor AB of length l carrying a current i is placed perpendicular to a long straight conductor XY carrying a current I as shown. The force on AB will be

Options

  1. Aμ 0 I i 2 π ln 2
  2. Bμ 0 I i 2 π ln 3
  3. C3 μ 0 I i 2 π
  4. D2 μ 0 I i 3 π

Correct answer

B. μ 0 I i 2 π ln 3

Step-by-step solution

d F = i d x B d F = i d x μ 0 I 2 π x F A B = ∫ l 2 3 l 2 μ 0 i I d x 2 π x F A B = μ 0 I i 2 π ln 3

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